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Finding the Third Proportional to 7,180,094 and 10,744,747.50

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Solution

The third proportional to 7,180,094 and 10,744,747.50 is: 16,079,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180,094 : 10,744,747.50 = 10,744,747.50 : x
  2. Step 2: Convert to fraction form
    7,180,094/10,744,747.50 = 10,744,747.50/x
  3. Step 3: Cross multiply
    7,180,094x = 10,744,747.50 × 10,744,747.50
  4. Step 4: Simplify right side
    7,180,094x = 115,449,598,838,756.25
  5. Step 5: Solve for x
    x = 115,449,598,838,756.25/7,180,094
  6. Step 6: Final answer
    x = 16,079,120.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.